Is it a "normal practice" for my doctor to be reusing needles/syringes, presumably after sterilization?

A week ago I went to see a podiatrist connected to my local hospital. I was quite satisfied with the overall professionalism of said podiatrist, but at the end of my visit, I was given an injection into my foot, after which my podiatrist tossed either the entirety, or a portion of the syringe/needle into a trash bucket labeled "REUSABLE SHARP," from which I presume that the syringe/needle used on me had been used previously, and would be used again on another patient after me, presumably after some process of sterilization, correct? I was just wondering if any doctors, or fellow patients out there could tell me if this is a common/safe practice?...as my exposure to media reports about medicinal issues have always led me to believe that all syringes/needles should be brand new, for each patient, and completely disposed of...not to be reused.